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andreev551 [17]
3 years ago
8

Which number line represtents the solution to |x+4|=2?​

Mathematics
1 answer:
vlada-n [284]3 years ago
7 0

Answer:

Points -2 and -6 on the number line are the two solutions.

Step-by-step explanation:

Use the definition of absolute value as a starting point

|x|=x\,\,\mbox{for}\,\,x\geq 0\\|x|=-x\,\,\mbox{for}\,\,x

To solve the equation, you need to treat the two cases as above:

|x+4|=x+4=2\,\,\,\mbox{for}\,\,x+4\geq 0\implies x\geq -4\\x+4=2\implies x=-2

The solution x=-2 is consistent with the condition x>=-4, so it is the first and valid solution. Now the second case of the absolute value:

|x+4|=-(x+4)=2\,\,\,\mbox{for}\,\,x+4< 0\implies x

Again, the second solution -6 complies with the requirement that x<-4, so it is valid.

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Answer:

A solution to a linear equation means that the ordered pair is a point that lies on that line.

If someone were to say (2,5) is a solution to the equation y= 2x+3, you could check them by plugging in 2 where the variable "x" and seeing if y =5.

In this case,

y= 2(2)+3

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3 years ago
PLEASE ANSWER FAST!Write a clear set of steps for the construction of an equilateral triangle. Use Euclids proposition 1 as a gu
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Step-by-step explanation:

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*Step 1

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3 years ago
As an estimation we are told 5 miles is 8 km. <br> Convert 70 miles to km. <br> km
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Answer:  112 km

=====================================================

Work Shown:

(5 miles)/(8 km) = (70 miles)/(x km)

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According to the given estimation, 70 miles converts to 112 km.

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